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- https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/06%3A_The_Normal_Distribution/6.03%3A_Using_the_Normal_DistributionBecause the normal distribution is symmetrical , if x1 were the same distance to the left of the mean the area, probability, in the left tail, would be the same as the shaded area in the right ta...Because the normal distribution is symmetrical , if x1 were the same distance to the left of the mean the area, probability, in the left tail, would be the same as the shaded area in the right tail. Also, bear in mind that because of the symmetry of this distribution, one-half of the probability is to the right of the mean and one-half is to the left of the mean.
- https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/06%3A_The_Normal_Distribution/6.03%3A_Using_the_Normal_DistributionBecause the normal distribution is symmetrical , if x1 were the same distance to the left of the mean the area, probability, in the left tail, would be the same as the shaded area in the right ta...Because the normal distribution is symmetrical , if x1 were the same distance to the left of the mean the area, probability, in the left tail, would be the same as the shaded area in the right tail. Also, bear in mind that because of the symmetry of this distribution, one-half of the probability is to the right of the mean and one-half is to the left of the mean.
- https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/BFE_1201_Statistical_Methods_for_Finance_(Kuter)/04%3A_Random_Variables/4.08%3A_Introduction_to_Normal_Distribution/4.8.02%3A_Using_the_Normal_DistributionBecause the normal distribution is symmetrical , if x1 were the same distance to the left of the mean the area, probability, in the left tail, would be the same as the shaded area in the right ta...Because the normal distribution is symmetrical , if x1 were the same distance to the left of the mean the area, probability, in the left tail, would be the same as the shaded area in the right tail. Also, bear in mind that because of the symmetry of this distribution, 0.5 of the probability is to the right of the mean and 0.5 is to the left of the mean.